Starlikeness of Analytic Functions with Subordinate Ratios

Let h be a non-vanishing analytic function in the open unit disc with h(0)=1. Consider the class consisting of normalized analytic functions f whose ratios f(z)/g(z), g(z)/z p(z), and p(z) are each subordinate to h for some analytic functions g and p. The radius of starlikeness is obtained for this... Show more